In Lotto what is the minimum number of tickets you would need to buy to guarantee at least one 3 number match?

In Lotto (the UK lottery), you pick 6 numbers from a pool of 49. How many tickets would you need to guarantee at least one match of 3 numbers?

Wikipedia shows the probability of matching 3 numbers at 55:1. Does that mean if you buy 55 tickets you are guaranteed to get at least one match?

(P.S. I did search here and find another lottery question, possibly asking the same thing - but obviously didn't understand that.)

cheers

Believe it or not, this is an open problem. Up to the present time, despite advanced mathematics and supercomputers, the precise minimum is unknown. It is known that the minimum value (called $L(49,6,6,3)$ in mathematical terminology) lies between $87$ and $163$. There is more information on this topic here.

Here is a set of $163$ ticket choices that works. Maybe a smaller set could be found to guarantee 3 winning numbers, but nobody knows this for sure.